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Finding the Fourth Proportional to 370,495.20, 511,283.88 and 200,729.32

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Solution

The fourth proportional to 370,495.20, 511,283.88 and 200,729.32 is: 277,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,495.20 : 511,283.88 = 200,729.32 : x
  2. Step 2: Convert to fraction form
    370,495.20/511,283.88 = 200,729.32/x
  3. Step 3: Cross multiply
    370,495.20x = 511,283.88 × 200,729.32
  4. Step 4: Simplify right side
    370,495.20x = 102,629,665,559.36
  5. Step 5: Solve for x
    x = 102,629,665,559.36/370,495.20
  6. Step 6: Final answer
    x = 277,006.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.